What is the dimension of the solution space for Ax=0 with A as a 2x3 matrix?

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Find the dimensions of the soultion space of Ax=0,
where A=
1 2 5
–1 3 1
(A is a 2x3 matrix).


To find the dimension you have to subtract n from rank(A)
//n being the number of columns

3-2=1
The dimension of the solution space is 1. is this correct?
 
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